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Finding the Fourth Proportional to 1,742, 2,405.07 and 1,122.08

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Solution

The fourth proportional to 1,742, 2,405.07 and 1,122.08 is: 1,549.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742 : 2,405.07 = 1,122.08 : x
  2. Step 2: Convert to fraction form
    1,742/2,405.07 = 1,122.08/x
  3. Step 3: Cross multiply
    1,742x = 2,405.07 × 1,122.08
  4. Step 4: Simplify right side
    1,742x = 2,698,680.95
  5. Step 5: Solve for x
    x = 2,698,680.95/1,742
  6. Step 6: Final answer
    x = 1,549.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.